# How do you find the domain and range of #root5(-4-7x)#?

##### 1 Answer

Jun 21, 2018

See below

#### Explanation:

This is an odd number root, so negative values for the radicand are allowed. Therefore domain is:

or

For the range we observe what happens as x goes to

as:

as:

Therefore the range is:

or

The graph of

graph{y=root(5)(-4-7x) [-10, 10, -5, 5]}